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212023320120 = 233351163168803
BaseRepresentation
bin1100010101110110010…
…0110001111000111000
3202021021021021122001000
43011131210301320320
511433210432220440
6241222511325000
721214064325303
oct3053544617070
9667237248030
10212023320120
1181a117005a7
1235112220760
1316cbc25a391
14a394c4db3a
1557adc9e730
hex315d931e38

212023320120 has 128 divisors (see below), whose sum is σ = 707356281600. Its totient is φ = 56490602112.

The previous prime is 212023320097. The next prime is 212023320121. The reversal of 212023320120 is 21023320212.

212023320120 is a `hidden beast` number, since 21 + 202 + 3 + 320 + 120 = 666.

212023320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212023320093 and 212023320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171639 + ... + 1340441.

It is an arithmetic number, because the mean of its divisors is an integer number (5526220950).

Almost surely, 2212023320120 is an apocalyptic number.

212023320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353678140800).

212023320120 is an abundant number, since it is smaller than the sum of its proper divisors (495332961480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212023320120 is a wasteful number, since it uses less digits than its factorization.

212023320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169986 (or 169976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212023320120 its reverse (21023320212), we get a palindrome (233046640332).

The spelling of 212023320120 in words is "two hundred twelve billion, twenty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1163 2326 3489 4652 5815 6978 9304 10467 11630 13956 17445 20934 23260 27912 31401 34890 41868 46520 52335 62802 69780 83736 104670 125604 139560 157005 168803 209340 251208 314010 337606 418680 506409 628020 675212 844015 1012818 1256040 1350424 1519227 1688030 2025636 2532045 3038454 3376060 4051272 4557681 5064090 6076908 6752120 7596135 9115362 10128180 12153816 15192270 18230724 20256360 22788405 30384540 36461448 45576810 60769080 91153620 182307240 196317889 392635778 588953667 785271556 981589445 1177907334 1570543112 1766861001 1963178890 2355814668 2944768335 3533722002 3926357780 4711629336 5300583003 5889536670 7067444004 7852715560 8834305005 10601166006 11779073340 14134888008 17668610010 21202332012 23558146680 26502915015 35337220020 42404664024 53005830030 70674440040 106011660060 212023320120